## New AP6 record

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• Here are 2 new AP6s at 3004 digits:- (1020460444+21411611*n)*6977#+1 and (1076079684+8274581*n)*6977#+1 are prime for n=0..5 All confirmed prime with PFGW -tc
Message 1 of 39 , May 22, 2010
Here are 2 new AP6s at 3004 digits:-

(1020460444+21411611*n)*6977#+1
and
(1076079684+8274581*n)*6977#+1
are prime for n=0..5

All confirmed prime with PFGW -tc

The first, having the larger 6th term, is the new record.

Input/output statistics:-
Numbers tested by NewPGen: k*6977#+1 for 1*10^9<k<=2*10^9
NewPGen reduced these (by sieving with all primes < 10^13) to: 3.0*10^8
Candidates checked by PFGW before AP6s found: 3.4*10^7
PRP's (AP1s) found by PFGW: 260015
AP5s: 92
AP6s: 0

Both AP6s were found by extending all the AP5s upwards.
At most one was to be expected.
Poisson seems to be in a good mood these days (cf. Ken's and David's recent posts)!

Run-time statistics:-
NewPGen: 71 GHz-days
PFGW: 312 GHz-days
Pascal program to find AP's: 10 GHz-mins

According to my
http://tech.groups.yahoo.com/group/primeform/message/10268
Ken's existing 2153-digit record had a "score" of 76.746.
This one scores 80.077, which puts it into 8th position overall.
Over to you, Ken:-)

-Mike Oakes
• ... Congrats to Mike for two AP6 chains. I completed my AP4 trawl at (about) 12050 decimal digits. Poisson expectation: 3.1 AP4 chains. Found: 3 chains. So I
Message 39 of 39 , May 23, 2010
--- In primeform@yahoogroups.com,
"mikeoakes2" <mikeoakes2@...> wrote:

> Poisson seems to be in a good mood these days
> (cf. Ken's and David's recent posts)!

Congrats to Mike for two AP6 chains.

I completed my AP4 trawl at (about) 12050 decimal digits.
Poisson expectation: 3.1 AP4 chains.
Found: 3 chains.

So I ain't complaining :-)

David
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